Search a number
-
+
13362102973 is a prime number
BaseRepresentation
bin11000111000111000…
…11000001010111101
31021111020011011100201
430130130120022331
5204331144243343
610045524123501
7652061000302
oct143434301275
937436134321
1013362102973
11573761680a
12270ab36591
13134c404a0b
1490a8a70a9
1553312b94d
hex31c7182bd

13362102973 has 2 divisors, whose sum is σ = 13362102974. Its totient is φ = 13362102972.

The previous prime is 13362102967. The next prime is 13362103087. The reversal of 13362102973 is 37920126331.

It is a happy number.

13362102973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6710558724 + 6651544249 = 81918^2 + 81557^2 .

It is an emirp because it is prime and its reverse (37920126331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13362102973 - 229 = 12825232061 is a prime.

It is a super-2 number, since 2×133621029732 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13362102953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6681051486 + 6681051487.

It is an arithmetic number, because the mean of its divisors is an integer number (6681051487).

Almost surely, 213362102973 is an apocalyptic number.

It is an amenable number.

13362102973 is a deficient number, since it is larger than the sum of its proper divisors (1).

13362102973 is an equidigital number, since it uses as much as digits as its factorization.

13362102973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 13362102973 in words is "thirteen billion, three hundred sixty-two million, one hundred two thousand, nine hundred seventy-three".